Find the LCM of 394, 325, 985, 857 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 394, 325, 985, 857. So, keep reading to learn more.
Given numbers are 394,325,985,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,325,985,857 is 109738850.
Find LCM of 394,325,985,857 with Prime Factorization
5 | 394, 325, 985, 857 |
197 | 394, 65, 197, 857 |
2, 65, 1, 857 |
Multiply the prime numbers at the bottom and the left side.
5 x 197 x 2 x 65 x 1 x 857 = 109738850
Therefore, the lowest common multiple of 394,325,985,857 is 109738850.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
394 x 325 x 985 x 857 = 108092767250
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
394 : 1, 2, 197, 394
325 : 1, 5, 13, 25, 65, 325
985 : 1, 5, 197, 985
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,325,985,857, is 1.
Now, the common factors can be found like this.
394:2x 197
325:5x 5x 13
985:5x 197
857:857
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 197 = 985
Therefore, the value for common factors is 985.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 108092767250/(1x985)
LCM = 108092767250/985
LCM = 109738850
Thus, we can understand that the LCM of 394,325,985,857 is 109738850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 394, 325, 985, 857?
Answer: LCM of 394, 325, 985, 857 is 109738850.
2. How to calculate the LCM of 394, 325, 985, 857?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 394, 325, 985, 857.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.